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Finding the Fourth Proportional to 251,728,230,848.80, 377,592,346,273.20 and 251,728,230,848.80

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Solution

The fourth proportional to 251,728,230,848.80, 377,592,346,273.20 and 251,728,230,848.80 is: 377,592,346,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,728,230,848.80 : 377,592,346,273.20 = 251,728,230,848.80 : x
  2. Step 2: Convert to fraction form
    251,728,230,848.80/377,592,346,273.20 = 251,728,230,848.80/x
  3. Step 3: Cross multiply
    251,728,230,848.80x = 377,592,346,273.20 × 251,728,230,848.80
  4. Step 4: Simplify right side
    251,728,230,848.80x = 95,050,653,309,400,111,906,816
  5. Step 5: Solve for x
    x = 95,050,653,309,400,111,906,816/251,728,230,848.80
  6. Step 6: Final answer
    x = 377,592,346,273.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.